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Matrix Equation Systems are Linear Systems

Last updated Nov 1, 2022

# Statement

Let $F$ be a Field and let $$A \mathbf{x} = \mathbf{b}$$ be a Matrix Equation System for $A \in F^{m \times n}, b \in F^{m}$ for $m, n \in \mathbb{N}$. Then it is also a Linear Equation System.

# Proof

TODO - this follows because Matrix Multiplication is a Linear Function.